2 SULIT 3472/1 & 3472/2 PERATURAN PERMARKAHAN ......PERATURAN PERMARKAHAN ADDITIONAL MATHEMATICS PAPER 1 NO MARKING SCHEME MARKS FULL MARKS 1 (a) –5 (b) 0 ≤ f(x) ≤ 13 1 1 2 2

SULIT 3472/1 & 3472/2

[Lihat halaman sebelah 3472/1 & 3472/2 © 2016 Hak Cipta MPSM Negeri Sembilan SULIT

PERATURAN PERMARKAHAN ADDITIONAL MATHEMATICS PAPER 1

NO MARKING SCHEME MARKS FULL MARKS

1

(a) –5

(b) 0 ≤ f(x) ≤ 13

1

1

2

2

a) 5,5

3)(1

x

x

xxf or equivalent

5

3

1

35

y

yxory

x

x

b) 1,1

5)(1

x

x

xxgf or equivalent

572

372

x

x

or follow through from (a)

2

B1

2

B1

4

3

qp

3

4

42 – 4p(3 – q) = 0

px2 + 6x + 3 = 2x + q

3

B2

B1

3

4

–57

52)5(134

5

por

p

2

B1

2

5

a) 45

p + 30 = 75

b) 100 cm

2

B1

1

3

6

2.047 [Accept : 2.045 – 2.048]

x(2log106 - log1015) = log106 or equivalent

x log105 or x log103 or x log1015 or (2x – 1) log106

3

B2

B1

3

7

3

2

p

p

2

2

log33

2log2

log2 p2 – log24

3

B2

B1

3

2

SULIT 3472/1 & 3472/2



8 a) 6400x2, 1600x

2, 400x

2

b) 6.25x2

6400x2 (0.25)

5

1

2

B1

3

9 a) 146 2 4

S7 = )]12(6)86(2[

2

7

B1

b) 194 2

86 + (10 – 1)(12) B1

10 a) xy

b) 4

1

1

2

11

2

qp

63

qp

1

B1

2

12 –2

102 – 8k = 118 or 102 – 8k = –118

)6)(4(10)3(2[)2()4)(3()10(62

1 kk

or equivalent

3

B2

B1

3

13 a) 3

b) 2

c) 2

1

1

1

3

3

SULIT 3472/1 & 3472/2



14 a)

b)

1 3

Sekiranya rajah betul dan terdapat semua anak panah

Sekiranya rajah betul tanpa anak panah

2

B1

15 a) ( )

1 3

b) – 3 , 5

2

√ ( )

B1

16

4 4

( ) ( )

B3

[ ] *

+

B2

∫

∫ ( )

B1

17 28

4 4

64 – 36

B3

*

+

or 36

B2

∫

B1

18 a) 1.855

2 4

or

or

B1

b) 1118.89

2

( ) ( )

( )

B1

4

SULIT 3472/1 & 3472/2



19 a) 37.5

1 4

b) 37.17

3

B2

30.5

B1

20 a) and

3 4

or

B2

√

or

√

B1

b) Student B

1

21 3

2 2

B1

22

3 3

(

) (

) (

) (

)

B2

( ) ( ) ( ) ( ) or

(

) or (

) or (

) or (

)

B1

23 a) 720

1 4

b) 192

3

or

B2

or

or

or

B1

5

SULIT 3472/1 & 3472/2



24 0, -2

4 4

( ) B3

( ) ( ) B2

or

B1

25 a)

2

4

B1

b)

2

B1

6

SULIT 3472/1 & 3472/2


PERATURAN PEMARKAHAN ADDITIONAL MATHEMATICS PAPER 2

Number Solution and marking scheme Sub Marks Full Marks

1

2

11 2

11 2 2 11 2 15 0

4 4 17 0

174 ,

4

53 ,

2

5 173, 4 ,

2 4

x y

y y y

y y

y y

x x

and

P1

K1

K1

N1

(both values of

y or x)

N1

(both points)

5

2(a)

(b)

42

22 pq

px

44

2

p

q or 32

p

5q 6p

7

4

0344482

k

kkk

N1

K1

N1N1

P1

(shape of

minimum

graph)

P1

(minimum point

and y-intercept)

K1

N1

8

x

y

7

SULIT 3472/1 & 3472/2



3(a)

(b)

xxAQPA

xy

yx

x

3649

364

4

9

Katakan z = PA+AQ

6

0361 2

x

xdx

dz

1254.100

5.088

8

scmdt

dA

dt

dA

jdj

dA

K1

N1

K1

K1

N1

K1

K1

N1

8

4(a)

(b)

Number of questions

Bilangan soalan

Frequency

Kekerapan

1 – 5 2

6 – 10 9

11 – 15 10

16 – 20 8

21 – 25 8

26 – 30 3

( )

or

( )

(

( )

) (

( )

)

11.18

11

P1

(Table)

K1

K1

N1

N1

5

8

SULIT 3472/1 & 3472/2



5(a)

(b)

2

1

2

xy

Number of solutions = 3

P1

(shape of

graph)

P1

(2 period)

P1

(amplitude)

K1

(straight line)

K1

N1

6

6(a)

(b)(i)

(ii)

dhahOE

ODAOhOEAO

1

5

1

5

3

3

12

32

k

h

kh

hk

dkakOE

3:2:

5

3

EADE

ADAE

K1

N1

K1

K1

(solve the

simultaneous

equations)

N1

N1

K1

N1

8

2

-1

1

1

2

9

SULIT 3472/1 & 3472/2



7

(a)

(b) (i)

(ii)

log10 x 0.62 0.86 1.02 1.20 1.32 1.66

log10 y 0.18 0.38 0.52 0.66 0.78 1.04

Refer to graph

log10 y = q log10 x + log10 p

log10 p = y-intercept = - 0.33

p = 0.4677 ± 0.05

q = gradient

q = 0.825 ± 0.1

P1

P1

P1

K1

N1

K1

N1

10

8(a)(i)

(ii)

(b)

2

2 4

3 3

0 28 8x dx or x dx

2 44 4

0 2

8 84 4

x xx or x

4 44 4 22

8 2 0 8 4 8 24 4 4

56

0 016 3

k k

dy or y dy

2

0

0

316

2

k

k yy or

23 1

16 0 0 342 2

kk

232 32 4 3 69

2 3

3

k

k

N1

K1

K1

K1

N1

K1

K1

K1

K1

N1

10

10

SULIT 3472/1 & 3472/2



9 (a)

(b)

(c)

6 5

1 2

1 942

. rad

. rad

2 2 0

2 2 0

5 1 942 9 71

5 44 5

1 2

4 5 4 5 2 4 5 4 5 111 27 7 429

5 45 1 942 2 5

1 2

4 5 4 5 2 4 5 4 5 111 27

18 139

QR . or .

.OT or .

.

TU . . . . cos . or .

.Perimeter .

.

. . . . cos .

Perimeter . cm

2 2 01 15 1 942 4 5 111 27

2 2. or . sin .

2 2 01 15 1 942 4 5 111 27

2 2. . sin .

14.84

K1

K1

N1

K1

K1

K1

N1

K1

K1

N1

10

11

SULIT 3472/1 & 3472/2



10(a)

(b)

(c)

(d)

41

3Nm

3

0 34

y x

3 9

4 4y x

92

2 0 43 0

1 2 1 2

yx

, ,

93 0

3 2

xor y

99

2,

2

2 42

9)09(

9.014

2

2 99 3

2x y

2 24 4 72 36 369 0x y x y

K1

K1

N1

K1

K1

N1

K1

N1

K1

N1

10

12

SULIT 3472/1 & 3472/2



11

(a)( i)

(ii)

(b) (i)

(ii)

2

9 1 10 010 10

9 10

0 7 10 0 7 0 3 10

7

2 1

9 10

0 7 0 3 0 7 0 3

0 1493

63 52

12

0 82043

520 8

12

520 842

12

41 896

. or . .

.

P X P X or

C . . C . .

.

P Z

.

tP Z .

t.

t .

K1

N1

N1

K1

N1

K1

N1

K1

K1

N1

10

13

SULIT 3472/1 & 3472/2


Number Solution and marking scheme Sub Marks Full

Marks

12(a)(i)

(ii)

(iii)

(b)

s

(c)

6

2 7 6t t < 0 @ ( 6)( 1)t t < 0

1 < t < 6

2 7dv

a tdt

t > 3.5

3 27

63 2

t tt

1

3 2 3 2 3 2

0

1 7(1) 6 7(6) 1 7(1)6(1) 6(6) 6(1)

3 2 3 2 3 2

23.67

N1

K1

N1

K1

N1

K1 shape

K1 follow

the range

K1

K1

N1

10

14

12

10

8

6

4

2

-2

-4

-6

-8

-10

-12

-14

-16

-18

-20

-20 -15 -10 -5 5 10 15 20 25 30 35 40

f x = x2-7x +6

6 1

14

SULIT 3472/1 & 3472/2



13(a) 11.20 100

1.15

or

120100

115

K1

104.35 N1

(b)

65100

48.20y @ 2012 100 125

48.20

P

K1

(i) 134.85y N1

(ii) 2012 60.25P N1

(c) 2 (1 125) (115 3)

2 1 3

x

K1

2 (1 125) (115 3)113.5

2 1 3

x

K1

105.5x N1

(d) 2010

175.40100 113.5

P

K1

2010 154.54P N1 10

14(a)

12.3

sin85 sin 29

PR

K1

25.27PR N1

(b) (b) 66SRP P1

2 2 225.27 3.6 2(25.27)(3.6)cos66PS K1

24.03PS N1

(c)

25.27 24.03

sin sin66RSP

K1

73.88RSP K1

106.12RSP N1

(d) 1(3.6)(25.27)sin66

2

K1

41.55 N1 10

15

SULIT 3472/1 & 3472/2



15(a) 5 4 1000y x N1

0.4 0.3 300x y N1

N1

(b)

graph

one line correct

P1

three lines correct P1

shaded region P1

(c)(i) 500 P1

(ii) (340, 540) P1

3.5(340) + 2.4(540) K1

RM 2486 N1 10

16

SULIT 3472/1 & 3472/2


0 0.2 0.4 0.6 0.8 1.0 1.2

0

log10x

- 0.2

0.4

0.2

0.6

0.8

1.0

4

1.2

1.4

6

X

X

X

X

X

1.4 1.6

-0.4

log10 y

Question No. 7 One point plotted correctly with correct scale P1

All 6 points plotted correctly P1

Line of best fit P1

10 20 30 40 50 60 70x

1.8

X

17

SULIT 3472/1 & 3472/2


100

400

y

200

500

600

700

800

100 200 300 400 500 600 x

Question No. 15

300

900

1000

700 800

R

18

REGULATION OF MARKING END

Documents

2 SULIT 3472/1 & 3472/2 PERATURAN PERMARKAHAN ......PERATURAN PERMARKAHAN ADDITIONAL MATHEMATICS PAPER 1 NO MARKING SCHEME MARKS FULL MARKS 1 (a) –5 (b) 0 ≤ f(x) ≤ 13 1 1 2 2